Imagine that a reactor converts all the given mass into energy and that it operates at a power level of ${10}^{9}Watt$ . The mass of the fuel consumed $perhour$ , in the reactor, will be:
(velocity of light, $c$ is $3 \times {10}^{8}m{s}^{- 1}$ )

Question

Imagine that a reactor converts all the given mass into energy and that it operates at a power level of

{10}^{9}Watt

. The mass of the fuel consumed

perhour

, in the reactor, will be:
(velocity of light,

c

is

3 \times {10}^{8}m{s}^{- 1}

)

Quantrex Academy · Accepted Answer

Correct answer: C. 4 × 10 ^ - 2 g

Power of reactor, P = (E)/( ) = c ^ 2 (From mass-energy equivalence equation) Given in the problem power level = 10 ^ 9 Watt . (∆ m)/(∆ t) = P c ^ 2 = 10 ^ 9 (3 × 10 ^ 8 ) ^ 2 ⇒ (∆ m)/(∆ t) = 10 ^ - 7 9 kg s ^ - 1 The mass of fuel consumed perhour = 10 ^ - 7 9 × (1000g)(3600 h ^ - 1 ) = 4 × 10 ^ - 2 g h ^ - 1 .

Imagine that a reactor converts all the given mass into energy and...

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